class8 Ganita Prakash (Mathematics) Solution
Ganita Prakash – Complete Solution Portal
Access ready-to-use chapter notes, step-by-step Figure It Out solutions, concept cheat sheets, and interactive teacher whiteboards for Part 1 and Part 2.
Part 1 Chapters (Chapters 1 to 7)
Chapter 1
A Square and A Cube
100 Lockers puzzle, square numbers, properties, unit digits, Pythagorean triplets, and square roots by long division.
Chapter 2
Power Play
Exponential growth, paper folding, laws of exponents, negative/zero powers, and scientific notation.
Chapter 3
A Story of Numbers
Evolution of number systems, tally marks, Roman numerals, Egyptian and Mesopotamian bases, and Hindu-Arabic numerals.
Chapter 4
Quadrilaterals
Rectangles, squares, parallelograms, rhombuses, trapeziums, angle sum property (360°), and diagonal deductions.
Chapter 5
Number Play
Parity rules, divisibility shortcuts (3, 9, 11), generalized remainders, digital roots, and cryptarithms.
Chapter 6
We Distribute, Yet Things Multiply
Distributive property, increments in products, fast multiplication (Ista-gunana), and special algebraic identities.
Chapter 7
Proportional Reasoning – I
Image scaling, ratio simplifications, Trairāśika (Rule of Three), ratio sharing, and real-world unit conversions.
Part 2 Chapters (Chapters 1 to 7 / Ch 8 to 14)
Chapter 1 (8)
Fractions in Disguise
Fractions as percentages, FDP trio conversions, profit & loss, discount, simple vs. compound interest, and depreciation.
Chapter 2 (9)
The Baudhāyana-Pythagoras Theorem
Doubling and halving squares, geometry of $\sqrt{2}$, Baudhāyana's dissection proof, and Pythagorean triples generation.
Chapter 3 (10)
Proportional Reasoning – II
Representative fractions in maps, multi-term ratios, division of wholes, pie charts, and direct vs. inverse proportions.
Chapter 4 (11)
Exploring Some Geometric Themes
Fractals (Sierpinski carpet/gasket, Koch snowflake), 3D mental visualisation, polyhedral nets, orthographic views, and isometric grids.
Chapter 5 (12)
Tales by Dots and Lines
Mean as a balance point, linear data transformations, frequency tables, digital spreadsheets (SUM/AVERAGE), and line graphs.
Chapter 6 (13)
Algebra Play
Think-of-a-number tricks, date prediction puzzles, number pyramids, calendar magic grids, and number reversal proofs.
Chapter 7 (14)
Area
Rectangle and square areas, perimeter vs. area, triangle areas, parallelogram & rhombus dissections, and trapezium formulas.